Finding the Third Proportional to 222,033 and 338,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,033 : 338,575.50 = 338,575.50 : x
2. Step 2: Convert to fraction form
   222,033/338,575.50 = 338,575.50/x
3. Step 3: Cross multiply
   222,033x = 338,575.50 × 338,575.50
4. Step 4: Simplify right side
   222,033x = 114,633,369,200.25
5. Step 5: Solve for x
   x = 114,633,369,200.25/222,033
6. Step 6: Final answer
   x = 516,289.78